Before we begin, let's identify what kind of angles these are and are they related in any way?
These angles are both acute and they are both corresponding angles.
Corresponding angles are equal to each other, and we can use this fact to our advantage.
Since they are equal to each other, we can set the equations of 1 and 2 equal to each other. Like so,
1 = 2
83 - 2x = 92 - 3x
Now, we can solve for X by isolating it on one side.
83 - 2x = 92 - 3x
Add 3x to each side: (This basically moves the X on the right side to the left.)
83 - 2x + 3x = 92 - 3x + 3x
83 + x = 92
Subtract 83 on each side to isolate the X.
83 + x - 83 = 92 - 83
x = 92 - 83
x = 9
Therefore, X equals 9. To check our work, we can substitute X for 9.
83 - 2(9) = 92 - 3(9)
83 - 18 = 92 - 27
65 = 65 -
TRUE
So to conclude, Angle 1 is 65 degrees, Angle 2 is 65 degrees, and X equals 9.
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Answer: The width is the square root of 40 or 6.32
Step-by-step explanation:
9^2 + b^2 = 11^2 where b squared is the width
81 + b^2 = 121
-81 -81
b^2 = 40
b= 6.32
Answer:
12, 18, 24, 30
Step-by-step explanation:
List the numbers between 11 and 34 that can be evenly divided by 3:
12, 15, 18, 21, 24, 27, 30, 33
Then eliminate the odd numbers, obtaining:
12, 18, 24, 30
These are the four busses that Camille could ride to work.
For the square with side length n, the diagonal measures:
<h3>
How to get the length of the diagonal?</h3>
The sidelength of the square is n, and we want to get the length of the diagonal d.
Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.
Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;
That is the length of the diagonal.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
The answer is x=4 and y=-4
